English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We show a Siegel-Weil formula in the setting of exceptional thetacorrespondence. Using this, together with a new Rankin-Selberg integral for theSpin L-function of $PGSp_6$ discovered by A. Pollack, we prove that a cuspidalrepresentation of $PGSp_6$ is a (weak) functorial lift from the exceptionalgroup $G_2$ if its (partial) Spin L-function has a pole at $s=1$.

An exceptional Siegel-Weil formula and poles of the Spin L-function of $PGSp_6$